Algebra I Help: Dividing Rational Expressions

I am trying to help my daughter with her algebra homework since she is online schooled. Since I haven't been in high school in many, many, years, I have no idea how to go about one problem she has came across, and I have no answer key. Could anyone help me and explain step by step how to solve this problem?

Simplify.
x^2-9
--------- ÷ (x-3)
x-5

Note: The x^2-9 over x-5 is in fraction form. Please help simplify. Thank you :)

Factor the (x^2 - 9)

(x + 3)(x - 3) / (x - 3)(x - 5)

Cancel out the (x - 3)s and you have (x + 3)(x - 5)

I hope this information was very helpful.

(x² - 9) / (x-5) / (x-3) = [(x-3)(x+3)] / (x-5) / (x-3) = (x+3) / (x-5)